Stability of the concentration inequality on polynomials
Mar\'ia \'Angeles Garc\'ia-Ferrero, Joaquim Ortega-Cerd\`a
TL;DR
This paper investigates how stable the concentration inequality is for complex polynomials in one dimension, providing both local and global stability results using entropy methods.
Contribution
It introduces new stability results for the concentration inequality of complex polynomials, including a global version based on Wehrl-type entropy.
Findings
Established local stability of the concentration inequality.
Derived a global stability version using Wehrl-type entropy.
Enhanced understanding of polynomial concentration behavior.
Abstract
In this paper, we study the stability of the concentration inequality for one-dimensional complex polynomials. We provide the stability of the local concentration inequality and a global version using a Wehrl-type entropy.
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Taxonomy
TopicsFunctional Equations Stability Results · advanced mathematical theories